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Finding the Third Proportional to 362,144 and 779,512

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Solution

The third proportional to 362,144 and 779,512 is: 1,677,893.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,144 : 779,512 = 779,512 : x
  2. Step 2: Convert to fraction form
    362,144/779,512 = 779,512/x
  3. Step 3: Cross multiply
    362,144x = 779,512 × 779,512
  4. Step 4: Simplify right side
    362,144x = 607,638,958,144
  5. Step 5: Solve for x
    x = 607,638,958,144/362,144
  6. Step 6: Final answer
    x = 1,677,893.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.